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Finding the Fourth Proportional to 647,631.44, 971,528.54 and 347,699.76

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Solution

The fourth proportional to 647,631.44, 971,528.54 and 347,699.76 is: 521,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,631.44 : 971,528.54 = 347,699.76 : x
  2. Step 2: Convert to fraction form
    647,631.44/971,528.54 = 347,699.76/x
  3. Step 3: Cross multiply
    647,631.44x = 971,528.54 × 347,699.76
  4. Step 4: Simplify right side
    647,631.44x = 337,800,240,191.15
  5. Step 5: Solve for x
    x = 337,800,240,191.15/647,631.44
  6. Step 6: Final answer
    x = 521,593.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.